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Finding the Fourth Proportional to 442,423.35, 663,562.13 and 189,744.66

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Solution

The fourth proportional to 442,423.35, 663,562.13 and 189,744.66 is: 284,585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,423.35 : 663,562.13 = 189,744.66 : x
  2. Step 2: Convert to fraction form
    442,423.35/663,562.13 = 189,744.66/x
  3. Step 3: Cross multiply
    442,423.35x = 663,562.13 × 189,744.66
  4. Step 4: Simplify right side
    442,423.35x = 125,907,369,797.00
  5. Step 5: Solve for x
    x = 125,907,369,797.00/442,423.35
  6. Step 6: Final answer
    x = 284,585.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.